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Finding the Fourth Proportional to 176,131.50, 264,196.32 and 43,012.44

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Solution

The fourth proportional to 176,131.50, 264,196.32 and 43,012.44 is: 64,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,131.50 : 264,196.32 = 43,012.44 : x
  2. Step 2: Convert to fraction form
    176,131.50/264,196.32 = 43,012.44/x
  3. Step 3: Cross multiply
    176,131.50x = 264,196.32 × 43,012.44
  4. Step 4: Simplify right side
    176,131.50x = 11,363,728,362.22
  5. Step 5: Solve for x
    x = 11,363,728,362.22/176,131.50
  6. Step 6: Final answer
    x = 64,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.